-1-2x+3(-x-2)=-2x+8

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Solution for -1-2x+3(-x-2)=-2x+8 equation:


Simplifying
-1 + -2x + 3(-1x + -2) = -2x + 8

Reorder the terms:
-1 + -2x + 3(-2 + -1x) = -2x + 8
-1 + -2x + (-2 * 3 + -1x * 3) = -2x + 8
-1 + -2x + (-6 + -3x) = -2x + 8

Reorder the terms:
-1 + -6 + -2x + -3x = -2x + 8

Combine like terms: -1 + -6 = -7
-7 + -2x + -3x = -2x + 8

Combine like terms: -2x + -3x = -5x
-7 + -5x = -2x + 8

Reorder the terms:
-7 + -5x = 8 + -2x

Solving
-7 + -5x = 8 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
-7 + -5x + 2x = 8 + -2x + 2x

Combine like terms: -5x + 2x = -3x
-7 + -3x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-7 + -3x = 8 + 0
-7 + -3x = 8

Add '7' to each side of the equation.
-7 + 7 + -3x = 8 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 8 + 7
-3x = 8 + 7

Combine like terms: 8 + 7 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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